Standard Deviation Calculator
Variance, SD & Mean ⚡

Quick Examples

Population vs Sample Standard Deviation

Population SD (σ) — use when your data represents the entire population (every member). Divides by n.

Sample SD (s) — use when your data is a sample drawn from a larger population (most common in practice). Divides by n−1. This is what Excel's STDEV function calculates.

For large datasets the difference is negligible. For small samples (under 30), always use sample SD.

Frequently Asked Questions

What does a high standard deviation mean?
A high SD means the values are spread widely from the mean. A low SD means they are clustered close to the mean. A SD of zero means all values are identical.

Can I paste from Excel?
Yes — copy a column of numbers from Excel or Google Sheets and paste directly into the box.

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